The possible members of the $5^1S_0$ meson nonet.
The strong decays of the $5^1S_0$ $q\bar{q}$ states are evaluated in the $^3P_0$ mode with two types of space wave functions. Comparing the model expectations with the experimental data for the $\pi(2360)$, $\eta(2320)$, $X(2370$, and $X(2500)$, we find that the $\pi(2360)$, $\eta(2320)$, and $X(2560)$ can be identified as the members of the $5^1S_0$ meson nonet, while the $5^1S_0$ assignment for the $X(2370)$ is not favored by its width. The $5^1S_0$ kaon is predicted to have a mass of about 2418 MeV and its width is about 163 MeV or 225 MeV.
Publisher URL: http://arxiv.org/abs/1802.03566
DOI: arXiv:1802.03566v1
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